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Finding the Fourth Proportional to 38,177.50, 57,270.30 and 10,475.50

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Solution

The fourth proportional to 38,177.50, 57,270.30 and 10,475.50 is: 15,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.50 : 57,270.30 = 10,475.50 : x
  2. Step 2: Convert to fraction form
    38,177.50/57,270.30 = 10,475.50/x
  3. Step 3: Cross multiply
    38,177.50x = 57,270.30 × 10,475.50
  4. Step 4: Simplify right side
    38,177.50x = 599,935,027.65
  5. Step 5: Solve for x
    x = 599,935,027.65/38,177.50
  6. Step 6: Final answer
    x = 15,714.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.